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Mirrors > Home > ILE Home > Th. List > mulcomi | Unicode version |
Description: Commutative law for multiplication. (Contributed by NM, 23-Nov-1994.) |
Ref | Expression |
---|---|
axi.1 | |
axi.2 |
Ref | Expression |
---|---|
mulcomi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axi.1 | . 2 | |
2 | axi.2 | . 2 | |
3 | mulcom 7873 | . 2 | |
4 | 1, 2, 3 | mp2an 423 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1342 wcel 2135 (class class class)co 5836 cc 7742 cmul 7749 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia3 107 ax-mulcom 7845 |
This theorem is referenced by: mulcomli 7897 8th4div3 9067 numma2c 9358 nummul2c 9362 9t11e99 9442 binom2i 10553 fac3 10634 tanval2ap 11640 pockthi 12267 sincosq4sgn 13297 2logb9irrALT 13439 |
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